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Closed-form expressions for eigenvalue and eigenvectors of stochastic symmetric matrices using the probability transformation method
16 references·0 citing·46 second hop
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References

  • 2009Stochastic Dynamics of Structures923 cited
  • 2002Stochastic Calculus506 cited
  • 1972Random Eigenvalue Problems in Structural Analysis205 cited
  • 2011Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method140 cited
  • 2007Efficient characterization of the random eigenvalue problem in a polynomial chaos decomposition132 cited
  • 2006Random matrix eigenvalue problems in structural dynamics98 cited
  • 1995Effects of Uncertain Material Properties on Structural Stability89 cited
  • 2002Random eigenvalue problems for large systems77 cited
  • 2001Computational procedure for a fast calculation of eigenvectors and eigenvalues of structures with random properties62 cited
  • 2015On the dual iterative stochastic perturbation-based finite element method in solid mechanics with Gaussian uncertainties56 cited
  • 2012Stochastic reduced order models for random vectors: Application to random eigenvalue problems52 cited
  • 2006A solution of the random eigenvalue problem by a dimensional decomposition method45 cited
  • 2013Explicit solutions for the response probability density function of linear systems subjected to random static loads41 cited
  • 2006Joint statistics of natural frequencies of stochastic dynamic systems39 cited

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  • 2012Perturbation Finite Element Transfer Matrix Method for Random Eigenvalue Problems of Uncertain Structures36 cited
  • 1995Stochastic sensitivity analysis of eigenvalues and eigenvectors35 cited
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